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Finding the Fourth Proportional to 1,127.58, 1,691.42 and 434.01

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Solution

The fourth proportional to 1,127.58, 1,691.42 and 434.01 is: 651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.58 : 1,691.42 = 434.01 : x
  2. Step 2: Convert to fraction form
    1,127.58/1,691.42 = 434.01/x
  3. Step 3: Cross multiply
    1,127.58x = 1,691.42 × 434.01
  4. Step 4: Simplify right side
    1,127.58x = 734,097.37
  5. Step 5: Solve for x
    x = 734,097.37/1,127.58
  6. Step 6: Final answer
    x = 651.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.